Extremal persistence probabilities of exchangeable sign-invariant random variables

Daniel Iľkovič, Jun Yan

Let $(X_1,\dots ,X_n)$ be a random variable in $(\mathbb{R}\setminus \{0\}{)}^n$ that is both exchangeable and sign-invariant. For every $k\in [n]$, let $S_k={\sum }_{i=1}^k{X}_i$. Define t…